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Finding the Fourth Proportional to 80,976, 121,483.44 and 25,572

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Solution

The fourth proportional to 80,976, 121,483.44 and 25,572 is: 38,364.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,976 : 121,483.44 = 25,572 : x
  2. Step 2: Convert to fraction form
    80,976/121,483.44 = 25,572/x
  3. Step 3: Cross multiply
    80,976x = 121,483.44 × 25,572
  4. Step 4: Simplify right side
    80,976x = 3,106,574,527.68
  5. Step 5: Solve for x
    x = 3,106,574,527.68/80,976
  6. Step 6: Final answer
    x = 38,364.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.